Scalar-tensor theories (STT) introduce a non-minimally coupled, dynamical scalar field that, together with the metric tensor, mediates gravitational interaction [1]}-[2]}. They gained interest after certain shortcomings of general relativity had become manifest, such as the need for inflationary period or currently observed accelerated expansion of the Universe. Introduction of a scalar field that is non-minimally coupled to the curvature allows one to create scenarios in which the dynamics of the field, accounting for various phenomena, becomes an inherent feature of the theory of gravity itself [3]}-[4]}. It was shown that inflationary behavior can be realized by addition of Higgs field [5]}-[6]}, both in the metric and in Palatini approach, and the accelerated expansion is well described by extended quintessence models [7]}, [8]}, [9]}, in which the role of cosmological constant is played by a dynamical scalar field, whose energy density tracks density of radiation and then density of dark matter.
